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Finding the Fourth Proportional to 836.14, 1,153.84 and 504.49

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Solution

The fourth proportional to 836.14, 1,153.84 and 504.49 is: 696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.14 : 1,153.84 = 504.49 : x
  2. Step 2: Convert to fraction form
    836.14/1,153.84 = 504.49/x
  3. Step 3: Cross multiply
    836.14x = 1,153.84 × 504.49
  4. Step 4: Simplify right side
    836.14x = 582,100.74
  5. Step 5: Solve for x
    x = 582,100.74/836.14
  6. Step 6: Final answer
    x = 696.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.